LCM of 986, 921, 676, 835, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 921, 676, 835, 867 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 986, 921, 676, 835, 867. So, keep reading to learn more.
Given numbers are 986,921,676,835,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,921,676,835,867 is 4357010858460.
Find LCM of 986,921,676,835,867 with Prime Factorization
| 2 | 986, 921, 676, 835, 867 |
| 3 | 493, 921, 338, 835, 867 |
| 17 | 493, 307, 338, 835, 289 |
| 29, 307, 338, 835, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 307 x 338 x 835 x 17 = 4357010858460
Therefore, the lowest common multiple of 986,921,676,835,867 is 4357010858460.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
986 x 921 x 676 x 835 x 867 = 444415107562920
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
986 : 1, 2, 17, 29, 34, 58, 493, 986
921 : 1, 3, 307, 921
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
835 : 1, 5, 167, 835
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,921,676,835,867, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
921:3x 307
676:2x 2x 13x 13
835:5x 167
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 444415107562920/(1x102)
LCM = 444415107562920/102
LCM = 4357010858460
Thus, we can understand that the LCM of 986,921,676,835,867 is 4357010858460.
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FAQs on LCM of 986, 921, 676, 835, 867
1. What is the LCM of 986, 921, 676, 835, 867?
Answer: LCM of 986, 921, 676, 835, 867 is 4357010858460.
2. How to calculate the LCM of 986, 921, 676, 835, 867?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 986, 921, 676, 835, 867.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.